Exam 6: Applications of Integration

Select the correct Answer for each question. -A spring has a natural length of cm.If a force of N is required to keep it stretched to a length of cm, how much work is required to stretch it from cm to cm?

The base of is the parabolic region Cross-sections perpendicular to the axis are squares.Find the volume of

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the indicated line.Select the correct Answer

Use the method of cylindrical shells to find the volume of solid obtained by rotating the region bounded by the given curves about the specified axis.

A particle moves a distance of 190 ft along a straight line.As it moves, it is acted upon by a constant force of magnitude 15 lb in a direction opposite to that of the motion.What is the work done by the force?

Select the correct Answer for each question. -Find the volume of the solid that is obtained by revolving the region about the line

Select the correct Answer for each question. -The base of a solid is a circular disk with radius .Find the volume of the solid if parallel cross-sections perpendicular to the base are isosceles right triangles with hypotenuse lying along the base.

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis.Select the correct Answer

Select the correct Answer for each question. -Graph the region between the curves and use your calculator to compute the area correct to five decimal places.

Find the area of the region bounded by the given curves.

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations and inequalities about the y-axis.Select the correct Answer

Select the correct Answer for each question. -Use cylindrical shells to find the volume of the solid.A sphere of radius

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis.Select the correct Answer

Graph the region between the curves and use your calculator to compute the area correct to five decimal places.Select the correct Answer

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the indicated line.

Find the area of the region bounded by the given curves.

The base of a solid is a circular disk with radius Find the volume of the solid if parallel cross-sections perpendicular to the base are isosceles right triangles with hypotenuse lying along the base.Select the correct Answer

Find the volume common to two spheres, each with radius if the center of each sphere lies on the surface of the other sphere.

Racing cars driven by Chris and Kelly are side by side at the start of a race.The table shows the velocities of each car (in miles per hour) during the first ten seconds of the race.Use the Midpoint Rule to estimate how much farther Kelly travels than Chris does during the first ten seconds.

A steel girder weighing 800 lb is hoisted from ground level to the roof of a 30-ft building using a chain that weighs 2 lb/running foot.Find the work done.